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What are the contributions of Leonhard Euler in complex numbers?
Wiki User
∙ 13y ago
One of the most significant contribution is Euler's Formula which relates the value eiθ to sine and cosine. Mainly,when θ = wt (w is omega, representing frequency, and t is time)
Aeiwt = Acos(wt)+Aisin(wt), where cosine is the "real" portion of the number and "sine" is the imaginary.
Another way to think of this is by making an axis system where real numbers are on the horizontal (x-axis) and imaginary number are on the vertical (y-axis) then the cosine value would be the number on the x-axis and the sine would be the number on the vertical axis. (This is similar to how you disect the unit circle.)
Wiki User
∙ 13y ago
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Name 6 mathematical contributions of Leonhard Euler?
Euler introduced mathematical notation. He made contributions of complex analysis. He introduced the concept of a function, the use of exponential function, and logarithms in analytic proofs. Euler also produced the formula for the Riemann zeta function.
What did Leonhard Euler do?
Leonhard Euler was a Swiss mathematician and scientist in the 18th century.
How many brothers and sisters did Leonhard Euler have?
Leonhard Euler has 1 brother,Johann Heinrich Euler and 2 sisters,Maria MagdalenaandAnna Maria.
Who created polynomials?
Leonhard Euler.
Who was the greatest mathematician?
Leonhard Euler
Name 6 mathematical contributions of Leonhard Euler?
Euler introduced mathematical notation. He made contributions of complex analysis. He introduced the concept of a function, the use of exponential function, and logarithms in analytic proofs. Euler also produced the formula for the Riemann zeta function.
What did Leonhard Euler do for math?
Leonhard Euler made many contributions to math but the one thing he is most famous for is changing the base of the natural logarithim by using the letter e which is aka Euler's number
Who calculated the value of e?
Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).Leonhard Euler (after whom it was named).
Who is the father of complex number?
The answer to this question is more like an opinion than a solid fact. Several different mathematicians have been attributed to contributions in imaginary and complex numbers, but the work of Leonhard Euler gave new meaning to how imaginary and complex numbers behave, and how they can be used to simplify the analysis of something very real: waves (especially electromagnetic waves).Euler's Formula: e^(i*Θ) = cos(Θ) + *sin (Θ)
What did Leonhard Euler do?
Leonhard Euler was a Swiss mathematician and scientist in the 18th century.
What is Leonhard Euler's birthday?
Leonhard Euler was born on April 15, 1707.
Where was Leonhard Euler born?
Leonhard Euler was born in Basel, Switzerland on 15 April 1707.
Who was Euler Leonhard?
mathematician
What was euler the mathematicians full name?
Leonhard Euler
How many brothers and sisters did Leonhard Euler have?
Leonhard Euler has 1 brother,Johann Heinrich Euler and 2 sisters,Maria MagdalenaandAnna Maria.
Who did Leonhard Euler marry?
Leonhard Euler married Katharina Gsell, daughter of Swiss painter Georg Gsell.
Who created polynomials?
Leonhard Euler.
